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I am running into a strange problem when solving the 2D compressible Euler equations on a inclined wedge. To elaborate, my top boundary condition seems to emitting some type of instability. I have tried using Neumann BCs for the u,v velocities, but the issue still persists.

I am using a 2nd-order finite volume method on a curvilinear mesh (structured grid). My flux scheme is the Roe scheme with the Harten entropy fix. I have attached a movie that illustrates the problem.

I was curious if someone has any thoughts.

enter image description here

https://www.dropbox.com/s/sev3o7olhqqx7h7/animation.mp4?dl=0

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  • $\begingroup$ That looks like a shock instability which some schemes can suffer from. Can you try HLL flux which does not suffer from such problems, or even Rusanov flux. $\endgroup$ – cpraveen May 8 at 7:55
  • $\begingroup$ I don't want to be too nosy, ..but what kind of application is this for? A Mach 10 shock in a confined space?:-) $\endgroup$ – MPIchael May 8 at 12:44
  • $\begingroup$ I was able to implement the Rusanov flux. What I have found is that I need approximately double the number grids in the X direction than the Y for the instability to not occur. What I find strange is I have fully validated my code on an oblique shock over a ramp along with flow over a forward facing ramp. $\endgroup$ – Simon May 14 at 13:52

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